I hate questions like that. Anyone that has interviewed for more than a couple of times can easily make something "glorious" up and get away with the lie because there's no way for the interviewer to verify a plausible but totally fictional story.

The other problem with such a question is that if you really are a good DBA, then you should not have had any "critical" problems to begin with. 😉

Shifting gears a bit... Considering how many people beg for urgent help on this and other forums because someone dropped a table and they don't have any backups, I'd have to say that the number of "DBAs" that have never done a restore (or backup, for that matter) far outweighs those that have.